To find the zeros of the polynomial function [tex]\( f(x) = x^4 + 16x^3 + 47x^2 - 100x - 132 \)[/tex], you need to solve the equation [tex]\( f(x) = 0 \)[/tex]. Here are the steps:
1. Write down the polynomial equation: [tex]\[
x^4 + 16x^3 + 47x^2 - 100x - 132 = 0
\][/tex]
2. Find the roots (zeros) of this polynomial equation. After solving the equation, the zeros obtained are: [tex]\[
x = -11, -6, -1, 2
\][/tex]
3. Arrange the zeros from the smallest to largest: [tex]\[
x = [-11, -6, -1, 2]
\][/tex]
So, the ordered list of zeros is: [tex]\[
\boxed{-11}, \boxed{-6}, \boxed{-1}, \boxed{2}
\][/tex]
